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Finding the Fourth Proportional to 196,411.40, 294,314.70 and 146,256.20

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Solution

The fourth proportional to 196,411.40, 294,314.70 and 146,256.20 is: 219,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,411.40 : 294,314.70 = 146,256.20 : x
  2. Step 2: Convert to fraction form
    196,411.40/294,314.70 = 146,256.20/x
  3. Step 3: Cross multiply
    196,411.40x = 294,314.70 × 146,256.20
  4. Step 4: Simplify right side
    196,411.40x = 43,045,349,626.14
  5. Step 5: Solve for x
    x = 43,045,349,626.14/196,411.40
  6. Step 6: Final answer
    x = 219,159.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.